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• Vl-taskdecl

Vl-taskdecl-fix

Fixing function for vl-taskdecl structures.

Signature

(vl-taskdecl-fix x) → new-x

Arguments

x — Guard (vl-taskdecl-p x).

Returns

new-x — Type (vl-taskdecl-p new-x).

Definitions and Theorems

Function: vl-taskdecl-fix$inline

(defun vl-taskdecl-fix$inline (x)
 (declare (xargs :guard (vl-taskdecl-p x)))
 (let ((__function__ 'vl-taskdecl-fix))
  (declare (ignorable __function__))
  (mbe
   :logic
   (b*
    ((name
      (str-fix
           (std::prod-car (std::prod-car (std::prod-car (cdr x))))))
     (body
      (vl-stmt-fix
           (std::prod-cdr (std::prod-car (std::prod-car (cdr x))))))
     (loc
      (vl-location-fix
           (std::prod-car (std::prod-cdr (std::prod-car (cdr x))))))
     (portdecls
      (vl-portdecllist-fix
       (std::prod-car
          (std::prod-cdr (std::prod-cdr (std::prod-car (cdr x)))))))
     (vardecls
      (vl-vardecllist-fix
       (std::prod-cdr
          (std::prod-cdr (std::prod-cdr (std::prod-car (cdr x)))))))
     (paramdecls
      (vl-paramdecllist-fix
           (std::prod-car (std::prod-car (std::prod-cdr (cdr x))))))
     (typedefs
      (vl-typedeflist-fix
       (std::prod-car
          (std::prod-cdr (std::prod-car (std::prod-cdr (cdr x)))))))
     (imports
      (vl-importlist-fix
       (std::prod-cdr
          (std::prod-cdr (std::prod-car (std::prod-cdr (cdr x)))))))
     (atts
      (vl-atts-fix
           (std::prod-car (std::prod-cdr (std::prod-cdr (cdr x))))))
     (lifetime
      (vl-lifetime-fix
       (std::prod-car
          (std::prod-cdr (std::prod-cdr (std::prod-cdr (cdr x)))))))
     (loaditems
      (vl-portdecl-or-blockitem-list-fix
       (std::prod-cdr
         (std::prod-cdr (std::prod-cdr (std::prod-cdr (cdr x))))))))
    (cons
     :vl-taskdecl
     (std::prod-cons
       (std::prod-cons
            (std::prod-cons name body)
            (std::prod-cons loc
                            (std::prod-cons portdecls vardecls)))
       (std::prod-cons
            (std::prod-cons paramdecls
                            (std::prod-cons typedefs imports))
            (std::prod-cons atts
                            (std::prod-cons lifetime loaditems))))))
   :exec x)))

Theorem: vl-taskdecl-p-of-vl-taskdecl-fix

(defthm vl-taskdecl-p-of-vl-taskdecl-fix
  (b* ((new-x (vl-taskdecl-fix$inline x)))
    (vl-taskdecl-p new-x))
  :rule-classes :rewrite)

Theorem: vl-taskdecl-fix-when-vl-taskdecl-p

(defthm vl-taskdecl-fix-when-vl-taskdecl-p
  (implies (vl-taskdecl-p x)
           (equal (vl-taskdecl-fix x) x)))

Function: vl-taskdecl-equiv$inline

(defun vl-taskdecl-equiv$inline (acl2::x acl2::y)
  (declare (xargs :guard (and (vl-taskdecl-p acl2::x)
                              (vl-taskdecl-p acl2::y))))
  (equal (vl-taskdecl-fix acl2::x)
         (vl-taskdecl-fix acl2::y)))

Theorem: vl-taskdecl-equiv-is-an-equivalence

(defthm vl-taskdecl-equiv-is-an-equivalence
  (and (booleanp (vl-taskdecl-equiv x y))
       (vl-taskdecl-equiv x x)
       (implies (vl-taskdecl-equiv x y)
                (vl-taskdecl-equiv y x))
       (implies (and (vl-taskdecl-equiv x y)
                     (vl-taskdecl-equiv y z))
                (vl-taskdecl-equiv x z)))
  :rule-classes (:equivalence))

Theorem: vl-taskdecl-equiv-implies-equal-vl-taskdecl-fix-1

(defthm vl-taskdecl-equiv-implies-equal-vl-taskdecl-fix-1
  (implies (vl-taskdecl-equiv acl2::x x-equiv)
           (equal (vl-taskdecl-fix acl2::x)
                  (vl-taskdecl-fix x-equiv)))
  :rule-classes (:congruence))

Theorem: vl-taskdecl-fix-under-vl-taskdecl-equiv

(defthm vl-taskdecl-fix-under-vl-taskdecl-equiv
  (vl-taskdecl-equiv (vl-taskdecl-fix acl2::x)
                     acl2::x)
  :rule-classes (:rewrite :rewrite-quoted-constant))

Theorem: equal-of-vl-taskdecl-fix-1-forward-to-vl-taskdecl-equiv

(defthm equal-of-vl-taskdecl-fix-1-forward-to-vl-taskdecl-equiv
  (implies (equal (vl-taskdecl-fix acl2::x)
                  acl2::y)
           (vl-taskdecl-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)

Theorem: equal-of-vl-taskdecl-fix-2-forward-to-vl-taskdecl-equiv

(defthm equal-of-vl-taskdecl-fix-2-forward-to-vl-taskdecl-equiv
  (implies (equal acl2::x (vl-taskdecl-fix acl2::y))
           (vl-taskdecl-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)

Theorem: vl-taskdecl-equiv-of-vl-taskdecl-fix-1-forward

(defthm vl-taskdecl-equiv-of-vl-taskdecl-fix-1-forward
  (implies (vl-taskdecl-equiv (vl-taskdecl-fix acl2::x)
                              acl2::y)
           (vl-taskdecl-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)

Theorem: vl-taskdecl-equiv-of-vl-taskdecl-fix-2-forward

(defthm vl-taskdecl-equiv-of-vl-taskdecl-fix-2-forward
  (implies (vl-taskdecl-equiv acl2::x (vl-taskdecl-fix acl2::y))
           (vl-taskdecl-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)